Finite Group DatabasebetaFinite Group Databasebeta| order | 3200 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C24 |
| direct product | C2×#13103287 |
| Sylow | C52 ⋊ C2×#343 |
982 conjugacy classes of subgroups; only the 168 normal subgroups are shown.
This group has 982 conjugacy classes of subgroups — too many to draw. Only its 168 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
92 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#72221696, #72221719, #72221722 |
| maximal normal subgroup of | C2×#72221696, #72221719, #72221722 |
Past the SmallGroups library coverage — no SmallGroups id.